Re-incorporating MA to physical training - *Slightly different*

I'm not really sure WHERE to post this odd question but since my primary objective is getting stronger and faster, I picked this forum.

So yeah, here's what I'm currently doing :

Wed : 5/3/1 reloaded
Fri : 5/3/1 reloaded
Sun : 5k Run OR Sprint

Now, I've come across a cheap boxing gym (also offers Muay Thai) on the way home.
The best part is that it's so accessible and cheap, I'll prolly spend 5-6$ a session at most and to be honest, it sounds pretty damn good.

The BAD part is, they only allow you to spar with a trainer who's been assigned with you, and I heard it's not changeable every session meaning you're stuck with the guy.
He pads you with 100% attention and stuff though and you pay him to spar.

Here are my questions :

1.) Is this EXTREMELY limited sparring pool enough to learn self defense considering the following conditions?

-I have prior sparring experience in Muay Thai (Twice the price) and Judo (Closed down) but the sparring pool is at least decent.
-By self defense I mean sucker punching someone before they draw a knife and sprinting fast as a gazelle out of the situation.
-I mostly use observation and common sense as my primary layer of self defense. Born in a tough third world city, I wear backpacks in front and constantly look behind me and avoid groups of men.

Wait, $6 gets you (what I assume is) an ENTIRE MOTHERFUCKING HOUR with an instructor who then will spend the entire time holding pads/sparring with you while correcting your technique? I would kill for that.

Boxing sounds fun. The gym could be good or could be bad, only way to know is to try. The sparring limitation sounds weird and it might eventually be a problem. On the other hand, maybe they train the hell out of you with pad work, bag work, and conditioning and leave the sparring mostly to smokers. Who knows?

You'll be chasing three rabbits if you don't either drop one of your pursuits or add more training days. Boxing once a week doesn't get you very good at boxing. Lifting once a week doesn't get you very strong. Running once a week doesn't make you very fast or in condition. I'm not telling you what to do, I'm just explaining how it works. Make your own choices with the information given.

Personally I'd box as much as possible, lift once a week at maintenance with no expectation of significant improvement, and drop the runs because I would consider boxing to be my cardio. If after trying the boxing gym I notice that they don't produce fighters then I'd quit and go back to lifting several times a week and cardio once or twice a week. But that's me.

What a disgrace it is for a man to grow old without ever seeing the beauty and strength of which his body is capable. -Xenophon's Socrates

I'm gonna check it out eventually after maybe a few months. I'm having fun with lifting and sprinting and just saw the gym and thought "Hey, I need to know how to sucker punch potential attackers again.".

I'm gonna check it out eventually after maybe a few months. I'm having fun with lifting and sprinting and just saw the gym and thought "Hey, I need to know how to sucker punch potential attackers again.".

Anyway, thanks man.

First, paying a pro to spar and hold pads for you... that sounds fucking awesome. He is probably very good at holding them, and challenging you just right in sparring. So yes, it will be good to box with a pro and get privet lessons for self defense and for boxing LOL.
Second, if you have a good base in kickboxing, than once a week is not too bad to get some rust off, and to maintain a level. Though at least twice would be recommended, and preferably more if you want to be able to do more than sucker punch nicely.
The warmups in boxing can and should include running and sprinting, also some basic strength stuff like pushups and pullups etc. So i would take at least one more boxing lesson, ask your private coach to add sprints or lifts if that is what you want..Where is that?? if it is Mexico, they have good boxing there..

Boxing sounds fun. The gym could be good or could be bad, only way to know is to try. The sparring limitation sounds weird and it might eventually be a problem. On the other hand, maybe they train the hell out of you with pad work, bag work, and conditioning and leave the sparring mostly to smokers. Who knows?

You'll be chasing three rabbits if you don't either drop one of your pursuits or add more training days. Boxing once a week doesn't get you very good at boxing. Lifting once a week doesn't get you very strong. Running once a week doesn't make you very fast or in condition. I'm not telling you what to do, I'm just explaining how it works. Make your own choices with the information given.

Personally I'd box as much as possible, lift once a week at maintenance with no expectation of significant improvement, and drop the runs because I would consider boxing to be my cardio. If after trying the boxing gym I notice that they don't produce fighters then I'd quit and go back to lifting several times a week and cardio once or twice a week. But that's me.